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Finding the Fourth Proportional to 950.47, 1,311.73 and 557.55

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Solution

The fourth proportional to 950.47, 1,311.73 and 557.55 is: 769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.47 : 1,311.73 = 557.55 : x
  2. Step 2: Convert to fraction form
    950.47/1,311.73 = 557.55/x
  3. Step 3: Cross multiply
    950.47x = 1,311.73 × 557.55
  4. Step 4: Simplify right side
    950.47x = 731,353.67
  5. Step 5: Solve for x
    x = 731,353.67/950.47
  6. Step 6: Final answer
    x = 769.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.